Finite Group Databasebeta

← #11870611

Subgroups — #11870611

Order 1152.

843 conjugacy classes of subgroups.

The subgroup lattice has 747 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×C4×#237C211yesmaximal, characteristic, complemented
2#10593921C211yesmaximal, characteristic, complemented
3#10592708C211yesmaximal, characteristic, complemented
4C3×#5016C211yesmaximal, characteristic, complemented
5#10591461C211yesmaximal, characteristic, complemented
6#10591450C211yesmaximal, characteristic
7Dic3×#214C211yesmaximal, characteristic, complemented
8Dic3×#213C211yesmaximal, characteristic, complemented
9#10590519C211yesmaximal, characteristic, complemented
10#10590502C211yesmaximal, characteristic, complemented
11#10590476C211yesmaximal, characteristic, complemented
12#10590453C211yesmaximal, characteristic, complemented
13#10590302C211yesmaximal, characteristic, complemented
14#10590267C211yesmaximal, characteristic, complemented
15#10590248C211yesmaximal, characteristic, complemented
16#82528—31nomaximal
17#80504—31nomaximal
18C2×C3×#237C2211yescharacteristic
19C32×C4×D4C2211yescharacteristic
20#64079C2211yescharacteristic
21C3×D4×Dic3C2211yescharacteristic
22C2×C3×#214C2211yescharacteristic
23C2×C3×#213C2211yescharacteristic
24C3×C4×#67—21no—
25C2×C3×C4×Dic3—21no—
26C3×#892C2211yescharacteristic
27C3×#887C2211yescharacteristic
28C3×#67⋊C4—21no—
29C3×#877—21no—
30C3×#875C2211yescharacteristic
31C3×C42×D3C2211yescharacteristic
32C3×C4×Dic6C2211yescharacteristic
33#63908C2211yescharacteristic
34#63905—21no—
35Dic3×D12C2211yescharacteristic
36#63879—21no—
37#63877—21no—
38#63859—21no—
39#63856C2211yescharacteristic
40Dic3×Dic6C2211yescharacteristic
41C2×#3718C2211yescharacteristic
42C2×#3715C2211yescharacteristic
43#63659C2211yescharacteristic
44#63659C2211yescharacteristic
45#63635C2211yescharacteristic
46#63634C2211yescharacteristic
47C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic
48C3×#810C2211yescharacteristic
49C3×#809C2211yescharacteristic
50C3×C4⋊(C3⋊C8)C2211yescharacteristic
51#63575C2211yescharacteristic
52#63573C2211yescharacteristic
53#63566C2211yescharacteristic
54#63566C2211yescharacteristic
55#63565C2211yescharacteristic
56#63562C2211yescharacteristic
57(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
58(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
59Dic3×C3⋊C8C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×C4×#41—31no—
62#5680—31no—
63C4×#237D311yescharacteristic, complemented
64#5479—31no—
65C3×#463—31no—
66#5239—31no—
67#5238—31no—
68#5173—31no—
69Dic3×SD16—31no—
70#5158—31no—
71Dic3×D8—31no—
72#5054—31no—
73C4×#216—31no—
74#5028—31no—
75C4×#215—31no—
76#5022—31no—
77C4×#214—31no—
78#5016D311yescharacteristic, complemented
79C4×#213—31no—
80#5009—31no—
81#5009—31no—
82#5009—61no—
83#5003—31no—
84#4996—31no—
85#4925—31no—
86#4833—31no—
87#4829—31no—
88#4814—31no—
89#4790—31no—
90#4779—31no—
91#4758—31no—
92C2×C32×D4C2311yescharacteristic
93C22×C32×C4—21no—
94C2×C3×#67—21no—
95C22×C3×Dic3—21no—
96C22×C3×Dic3—21no—
97C3×#237—22no—
98C3×#237—22no—
99C2×C3×D12C2311yescharacteristic
100C2×C3×C4×D3D411yescharacteristic
101C2×C3×C4×D3D411yescharacteristic
102C2×C3×C4×D3C2311yescharacteristic
103C2×C3×Dic6C2311yescharacteristic
104C2×C3×Dic6C2311yescharacteristic
105C2×#625—21no—
106C2×D3×Dic3—21no—
107C32×C4⋊C4C2311yescharacteristic
108C32×C22⋊C4—21no—
109C32×C42C2311yescharacteristic
110C4⋊(C3⋊Dic3)C2311yescharacteristic
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112#3750—21no—
113#3750—21no—
114C2×C3⋊(C3⋊C8)C2311yescharacteristic
115C2×C3⋊(C3⋊C8)C2311yescharacteristic
116C3×#217—21no—
117C3×#214—22no—
118C3×#213—22no—
119C3×(C2×D3)⋊C4—21no—
120C3×(C2×D3)⋊C4—21no—
121C3×(C2×D3)⋊C4—21no—
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C3×C4×Dic3—21no—
126C3×C4×Dic3—21no—
127C3×C4×Dic3—21no—
128C3×C4×Dic3D411yescharacteristic
129C3×C4×Dic3D411yescharacteristic
130C3×C4×Dic3C2311yescharacteristic
131C2×C3×C3⋊C8C2311yescharacteristic
132C2×C3×C3⋊C8C2311yescharacteristic
133#3724—21no—
134Dic3⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138Dic32—21no—
139#3718—22no—
140#3715—22no—
141#3102—91noSylow
142C2×C3×#41—31no—
143C2×#237C2×D311yescharacteristic
144C2×C3×SD16—31no—
145C2×C3×D8—31no—
146C3×#124—31no—
147C3×C4×Q8—31no—
148C3×C4×Q8—31no—
149C3×C4×D4—21no—
150C3×C4×D4—31no—
151C3×C4×D4—61no—
152C3×C4×D4—61no—
153C3×C4×D4C2×D311yescharacteristic
154C3×C4×D4C2×D311yescharacteristic
155C3×#117—31no—
156C3×#117—61no—
157C2×C3×C42—31no—
158C2×C3×C42—61no—
159#946—31no—
160Q8×Dic3—31no—
161C2×#216—31no—
162C2×#216—31no—
163C2×#215—31no—
164#938—31no—
165D4×Dic3—31no—
166D4×Dic3C2×D311yescharacteristic
167C2×#214—31no—
168C2×#214C2×D311yescharacteristic
169C2×#213C2×D311yescharacteristic
170#930—31no—
171#929—61no—
172C4×#67—21no—
173C4×#67—61no—
174#924—31no—
175C2×C4×Dic3—21no—
176#892C2×D311yescharacteristic
177#887C2×D311yescharacteristic
178#883—61no—
179#67⋊C4—21no—
180#67⋊C4—61no—
181#879—61no—
182#877—21no—
183#877—61no—
184#876—61no—
185#875C2×D311yescharacteristic
186C4×D12—31no—
187#872—61no—
188C42×D3C2×D311yescharacteristic
189#870—31no—
190#870—31no—
191#870—61no—
192C4×Dic6—31no—
193C4×Dic6C2×D311yescharacteristic
194C3×C4⋊C8—31no—
195C3×#103—31no—
196C3×#102—31no—
197#835—31no—
198#835—31no—
199#835—31no—
200#832—31no—
201#832—31no—
202#832—31no—
203#832—31no—
204#832—31no—
205#832—61no—
206#832—61no—
207#830—31no—
208#830—31no—
209(C2×D3)⋊C8—31no—
210(C2×D3)⋊C8—31no—
211#818—31no—
212#817—31no—
213#816—31no—
214#816—31no—
215C8×Dic3—31no—
216C8×Dic3—31no—
217#810—31no—
218#810C2×D311yescharacteristic
219#809—31no—
220#809C2×D311yescharacteristic
221#808—31no—
222#808—31no—
223#808—31no—
224#808—61no—
225#807—31no—
226#807—31no—
227#807—31no—
228#807—61no—
229C4⋊(C3⋊C8)—31no—
230C4⋊(C3⋊C8)—31no—
231C4⋊(C3⋊C8)—61no—
232C4⋊(C3⋊C8)C2×D311yescharacteristic
233C4×C3⋊C8—31no—
234C4×C3⋊C8—31no—
235C23×C32—21no—
236C22×C3×D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C32×D4—21no—
239C32×D4#4112yes—
240C2×C32×C4—21no—
241C2×C32×C4—42no—
242C2×C32×C4C2×D411yescharacteristic
243C2×C32×C4C2×D411yescharacteristic
244C2×C32×C4C2411yescharacteristic
245C2×C3⋊Dic3—21no—
246C2×C3⋊Dic3—21no—
247C3×#67—24no—
248C2×C3×Dic3—24no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—42no—
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C3×D12—21no—
257C3×D12—21no—
258C3×C4×D3—21no—
259C3×C4×D3—21no—
260C3×C4×D3—22no—
261C3×C4×D3—41no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265C3×Dic6#4112yes—
266#625—42no—
267D3×Dic3—42no—
268C3⋊(C3⋊C8)—21no—
269C3⋊(C3⋊C8)—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272#529—91no—
273C4×#41—31no—
274#485—91no—
275#482—91no—
276#479—91no—
277#478—91no—
278#464—91no—
279#463—31no—
280#452—91no—
281#449—91no—
282C4×Q16—91no—
283C4×SD16—91no—
284C4×SD16—91no—
285C4×D8—91no—
286#431—91no—
287C3×#41—62no—
288C3×#41—62no—
289C2×C3×Q8—31no—
290C2×C3×Q8—31no—
291C2×C3×D4—21no—
292C2×C3×D4—31no—
293C2×C3×D4—61no—
294C2×C3×D4C22×D311yescharacteristic
295C2×C3×D4C22×D311yescharacteristic
296C22×C3×C4—21no—
297C22×C3×C4—21no—
298C22×C3×C4—31no—
299C22×C3×C4—31no—
300C22×C3×C4—31no—
301C22×C3×C4—41no—
302C22×C3×C4—61no—
303C22×C3×C4—61no—
304C2×#67—21no—
305C2×#67—61no—
306C2×#67—61no—
307C22×Dic3—21no—
308C22×Dic3—21no—
309C22×Dic3—61no—
310#237—22no—
311#237—22no—
312C2×D12C22×D311yescharacteristic
313C2×C4×D3—61no—
314C2×C4×D3#6711yescharacteristic
315C2×C4×D3#6711yescharacteristic
316C2×C4×D3C22×D311yescharacteristic
317C2×Dic6C22×D311yescharacteristic
318C2×Dic6C22×D311yescharacteristic
319C3×SD16—62no—
320C3×D8—62no—
321C2×C3×C8—31no—
322C2×C3×C8—31no—
323C3×C4⋊C4—21no—
324C3×C4⋊C4—31no—
325C3×C4⋊C4—61no—
326C3×C4⋊C4—61no—
327C3×C4⋊C4C22×D311yescharacteristic
328C3×C4⋊C4C22×D311yescharacteristic
329C3×C22⋊C4—21no—
330C3×C22⋊C4—21no—
331C3×C22⋊C4—41no—
332C3×C22⋊C4—61no—
333C3×C22⋊C4—61no—
334C3×C22⋊C4—61no—
335C3×C22⋊C4—61no—
336C3×C42—21no—
337C3×C42—31no—
338C3×C42—31no—
339C3×C42—31no—
340C3×C42—61no—
341C3×C42—61no—
342C3×C42—61no—
343C3×C42C22×D311yescharacteristic
344C3×C42C22×D311yescharacteristic
345#217—21no—
346#217—61no—
347#217—61no—
348#217—61no—
349#216—62no—
350#216—62no—
351#215—62no—
352#214—22no—
353#214—62no—
354#213—22no—
355(C2×D3)⋊C4—21no—
356(C2×D3)⋊C4—21no—
357(C2×D3)⋊C4—21no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—61no—
360(C2×D3)⋊C4—61no—
361C4⋊Dic3—31no—
362C4⋊Dic3—31no—
363C4⋊Dic3—31no—
364C4⋊Dic3—31no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3C22×D311yescharacteristic
369Dic3⋊C4—21no—
370Dic3⋊C4—21no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—121no—
379Dic3⋊C4—121no—
380C4×Dic3—21no—
381C4×Dic3—21no—
382C4×Dic3—21no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3#6711yescharacteristic
386C4×Dic3#6711yescharacteristic
387C4×Dic3C22×D311yescharacteristic
388C2×C3⋊C8—31no—
389C2×C3⋊C8—31no—
390C2×C3⋊C8—31no—
391C2×C3⋊C8—31no—
392C2×C3⋊C8—61no—
393C2×C3⋊C8—61no—
394C2×C3⋊C8C22×D311yescharacteristic
395C2×C3⋊C8C22×D311yescharacteristic
396C22×C32—22no—
397C22×C32—41no—
398C22×C32—41no—
399C22×C32C22×D411yescharacteristic
400C2×C3×D3—21no—
401C2×C3×D3—21no—
402C2×C3×D3—21no—
403C2×C3×D3—41no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C32×C4—21no—
407C32×C4—21no—
408C32×C4—41no—
409C32×C4C2×#4111yescharacteristic
410C32×C4C2×#4111yescharacteristic
411C3⋊Dic3—41no—
412C3⋊Dic3—41no—
413C3×Dic3—22no—
414C3×Dic3—21no—
415C3×Dic3—21no—
416C3×Dic3—41no—
417C3×Dic3—41no—
418C3×Dic3#13512yes—
419C2×#41—31no—
420C2×Q16—91no—
421C2×SD16—31no—
422C2×SD16—91no—
423C2×D8—31no—
424#126—181no—
425#125—91no—
426#124—31no—
427#123—181no—
428C22⋊Q8—91no—
429#121—91no—
430C4×Q8—31no—
431C4×Q8—31no—
432C4×Q8—91no—
433C4×D4—31no—
434C4×D4—61no—
435C4×D4—61no—
436C4×D4—91no—
437C4×D4—181no—
438C4×D4D3211yescharacteristic
439#117—31no—
440#117—61no—
441#117—181no—
442C2×C42—31no—
443C2×C42—61no—
444#107—91no—
445#107—91no—
446#106—91no—
447#106—91no—
448C4⋊C8—31no—
449C4⋊C8—91no—
450#103—31no—
451#103—91no—
452#103—91no—
453#103—91no—
454#102—31no—
455#102—91no—
456#102—91no—
457#102—91no—
458C22⋊C8—91no—
459C22⋊C8—91no—
460C4×C8—91no—
461C4×C8—91no—
462C23×C3—21no—
463C23×C3—21no—
464C23×C3—31no—
465C23×C3—41no—
466C23×C3—61no—
467C22×D3—21no—
468C22×D3C2×#6711yescharacteristic
469C3×Q8—32no—
470C3×Q8—61no—
471C3×Q8—61no—
472C3×Q8—61no—
473C3×D4—21no—
474C3×D4—21no—
475C3×D4—22no—
476C3×D4—41no—
477C3×D4—64no—
478C3×D4—61no—
479C3×D4—61no—
480C3×D4#23512yes—
481C3×D4#23712yes—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—31no—
488C2×C3×C4—31no—
489C2×C3×C4—31no—
490C2×C3×C4—41no—
491C2×C3×C4—42no—
492C2×C3×C4—42no—
493C2×C3×C4—62no—
494C2×C3×C4—64no—
495C2×C3×C4—61no—
496C2×C3×C4—61no—
497C2×C3×C4—61no—
498C2×C3×C4—61no—
499C2×C3×C4—61no—
500C2×C3×C4—82no—
501C2×C3×C4—121no—
502C2×C3×C4—122no—
503C2×C3×C4D3×D411yescharacteristic
504C2×C3×C4D3×D411yescharacteristic
505C2×C3×C4C2×#6711yescharacteristic
506C2×C3×C4C2×#6711yescharacteristic
507C2×C3×C4C23×D311yescharacteristic
508C2×C3×C4C23×D311yescharacteristic
509#67—24no—
510#67—122no—
511#67—122no—
512C2×Dic3—24no—
513C2×Dic3—21no—
514C2×Dic3—21no—
515C2×Dic3—21no—
516C2×Dic3—42no—
517C2×Dic3—61no—
518C2×Dic3—61no—
519C2×Dic3—61no—
520C2×Dic3—61no—
521C2×Dic3—121no—
522C2×Dic3—121no—
523C2×Dic3—122no—
524C2×Dic3C2×#6711yescharacteristic
525C2×Dic3C2×#6711yescharacteristic
526C2×Dic3C2×#6711yescharacteristic
527D12—21no—
528D12—21no—
529C4×D3—21no—
530C4×D3—21no—
531C4×D3—22no—
532C4×D3—41no—
533C4×D3—122no—
534Dic6—21no—
535Dic6—21no—
536Dic6—21no—
537Dic6#23512yes—
538C3×C8—61no—
539C3×C8—61no—
540C3⋊C8—21no—
541C3⋊C8—21no—
542C3⋊C8—61no—
543C3⋊C8—61no—
544C3⋊C8—61no—
545C3⋊C8—61no—
546C3⋊C8—121no—
547C3⋊C8—121no—
548C2×C32—42no—
549C2×C32#52511yescharacteristic
550C2×C32C2×#13511yescharacteristic
551C2×C32#57511yescharacteristic
552C3×D3—41no—
553C3×D3—81no—
554#41—62no—
555#41—62no—
556C2×Q8—31no—
557C2×Q8—31no—
558C2×D4—31no—
559C2×D4—61no—
560C2×D4—181no—
561C2×D4C2×D3211yescharacteristic
562C22×C4—21no—
563C22×C4—31no—
564C22×C4—31no—
565C22×C4—31no—
566C22×C4—61no—
567C22×C4—61no—
568C22×C4—181no—
569Q16—182no—
570SD16—62no—
571SD16—182no—
572D8—62no—
573C2×C8—31no—
574C2×C8—31no—
575C2×C8—91no—
576C2×C8—91no—
577C4⋊C4—31no—
578C4⋊C4—61no—
579C4⋊C4—61no—
580C4⋊C4—91no—
581C4⋊C4—91no—
582C4⋊C4—181no—
583C4⋊C4—181no—
584C4⋊C4—181no—
585C4⋊C4—181no—
586C4⋊C4C2×D3211yescharacteristic
587C22⋊C4—21no—
588C22⋊C4—61no—
589C22⋊C4—61no—
590C22⋊C4—61no—
591C22⋊C4—61no—
592C22⋊C4—181no—
593C22⋊C4—181no—
594C22⋊C4—181no—
595C42—31no—
596C42—31no—
597C42—31no—
598C42—61no—
599C42—61no—
600C42—61no—
601C42—181no—
602C42C2×D3211yescharacteristic
603C22×C3—22no—
604C22×C3—22no—
605C22×C3—21no—
606C22×C3—42no—
607C22×C3—41no—
608C22×C3—41no—
609C22×C3—41no—
610C22×C3—41no—
611C22×C3—61no—
612C22×C3—61no—
613C22×C3—61no—
614C22×C3—81no—
615C22×C3—81no—
616C22×C3—121no—
617C22×C3—121no—
618C22×C3—121no—
619C22×C3C2×D3×D411yescharacteristic
620C22×C3C22×#6711yescharacteristic
621C2×D3—21no—
622C2×D3—21no—
623C2×D3—21no—
624C2×D3—41no—
625C2×D3—41no—
626C2×D3—41no—
627C3×C4—21no—
628C3×C4—21no—
629C3×C4—21no—
630C3×C4—21no—
631C3×C4—21no—
632C3×C4—21no—
633C3×C4—32no—
634C3×C4—41no—
635C3×C4—41no—
636C3×C4—41no—
637C3×C4—41no—
638C3×C4—61no—
639C3×C4—61no—
640C3×C4—62no—
641C3×C4—81no—
642C3×C4—121no—
643C3×C4—121no—
644C3×C4C2×#23511yescharacteristic
645C3×C4C2×#23511yescharacteristic
646C3×C4C2×#23711yescharacteristic
647C3×C4D3×#4111yescharacteristic
648Dic3—22no—
649Dic3—21no—
650Dic3—21no—
651Dic3—41no—
652Dic3—41no—
653Dic3—121no—
654Dic3—121no—
655Dic3—121no—
656Dic3—121no—
657Dic3—241no—
658Dic3—241no—
659Dic3#95012yes—
660C32#310211yescharacteristic, complemented, Sylow
661C23—21no—
662C23—31no—
663C23—61no—
664Q8—32no—
665Q8—61no—
666Q8—61no—
667Q8—61no—
668D4—21no—
669D4—64no—
670D4—61no—
671D4—61no—
672D4—362no—
673D4#379512yes—
674C2×C4—21no—
675C2×C4—31no—
676C2×C4—31no—
677C2×C4—31no—
678C2×C4—42no—
679C2×C4—62no—
680C2×C4—64no—
681C2×C4—61no—
682C2×C4—61no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—121no—
687C2×C4—122no—
688C2×C4—181no—
689C2×C4—181no—
690C2×C4—362no—
691C2×C4D3×#6711yescharacteristic
692C2×C4D3×#6711yescharacteristic
693C2×C4C22×D3211yescharacteristic
694C8—61no—
695C8—61no—
696C8—181no—
697C8—181no—
698C2×C3—21no—
699C2×C3—21no—
700C2×C3—21no—
701C2×C3—42no—
702C2×C3—42no—
703C2×C3—82no—
704C2×C3—121no—
705C2×C3—241no—
706C2×C3#560611yescharacteristic
707C2×C3D3×#13511yescharacteristic
708C2×C3#577311yescharacteristic
709C2×C3#579111yescharacteristic
710C2×C3C2×#95011yescharacteristic
711C2×C3#582211yescharacteristic
712D3—41no—
713D3—81no—
714C22—22no—
715C22—41no—
716C22—41no—
717C22—61no—
718C22—61no—
719C22—61no—
720C22—121no—
721C22—121no—
722C22—121no—
723C22C2×D3×#6711yescharacteristic
724C4—21no—
725C4—21no—
726C4—32no—
727C4—41no—
728C4—61no—
729C4—61no—
730C4—62no—
731C4—121no—
732C4—121no—
733C4—361no—
734C4—361no—
735C4C2×#379511yescharacteristic
736C4D3×#23511yescharacteristic
737C3—21no—
738C3#8050411yescharacteristic, complemented
739C3#8252811yescharacteristic, complemented
740C2—42no—
741C2—121no—
742C2—241no—
743C2#1059489211yescharacteristic
744C2#1059509511yescharacteristic
745C2D3×#95011yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×D4C22
socleC22×C32C22×D4
prime radical#10591450C2
hypercenterC4×D4D32
hypocenterC32#3102
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4×D4

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C3×C4×#237C2semidirect
2. #10593921C2semidirect
3. #10592708C2semidirect
4. C3×#5016C2semidirect
5. #10591461C2semidirect
7. Dic3×#214C2semidirect
8. Dic3×#213C2semidirect
9. #10590519C2semidirect
10. #10590502C2semidirect
11. #10590476C2semidirect
12. #10590453C2semidirect
13. #10590302C2semidirect
14. #10590267C2semidirect
15. #10590248C2semidirect
63. C4×#237D3semidirect
78. #5016D3semidirect
660. C32#3102semidirect
738. C3#80504semidirect
739. C3#82528semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C3×C4×#2372
#105939212
#105927082
C3×#50162
#105914612
#105914502
Dic3×#2142
Dic3×#2132
#105905192
#105905022
#105904762
#105904532
#105903022
#105902672
#105902482
#825283
#805043